waver vs hesitation

waver and hesitation both are nouns.

Word	Noun	Adjective	Verb	Adverb
waver	Yes	No	Yes	No
hesitation	Yes	No	No	No

As nouns, waver and hesitation are synonyms defined as:

Other synonyms of waver include falter, faltering.

waver (noun)	hesitation (noun)
the act of moving back and forth	the act of pausing uncertainly
the act of pausing uncertainly	a certain degree of unwillingness
someone who communicates by waving	indecision in speech or action

waver (verb)	hesitation (verb)
give off unsteady sounds, alternating in amplitude or frequency
sway from side to side
move or sway in a rising and falling or wavelike pattern
move back and forth very rapidly
move hesitatingly, as if about to give way
pause or hold back in uncertainty or unwillingness
be unsure or weak